2006/05/22 by Leila Khatami, Khatami, Leila, Massoud Tousi +3
Mathematics · #13D05 #13D45 #14B15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #math.AG #msc:13D05 #msc:13D45 #msc:14B15
paper · pdf · doi:10.48550/arxiv.math/0605580
arxiv created 2006/05/22 · openalex publication_date 2006/05/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A generalization of Grothendieck's non-vanishing theorem is proved for a module which is finite over a local homomorphism. It is also proved that the Gorenstein injective dimension of such a module, if finite, is bounded below by its Krull dimension and is equal to the supremum of the depths of the localizations of the ring over primes in the support of the module.